Keystone Algebra: Linear Equations/Inequalities Questions and Answers

Question 1

A plumber charges a flat fee of $75 for a service call, plus an additional $45 per hour for labor.
The total cost for a service call, C, can be represented by the equation C = 45h + 75, where h is the number of hours of labor.
If a customer's total bill was $255, how many hours of labor were required?

Accepted Answer

4 hours

Answer

3 hours

Answer

5 hours

Answer

6 hours

Question 2

Which of the following inequalities represents the statement: 'The sum of a number, x, and 8 is at least 20'?

Accepted Answer

x + 8 ≥ 20

Answer

x + 8 > 20

Answer

x + 8 < 20

Answer

x + 8 ≤ 20

Question 3

A student is selling candy bars for a fundraiser. They want to raise more than $150. They sell small candy bars for $1.50 each and large candy bars for $2.50 each. If 's' represents the number of small candy bars and 'l' represents the number of large candy bars sold, which inequality models this situation?

Accepted Answer

1.50s + 2.50l > 150

Answer

1.50s + 2.50l < 150

Answer

1.50s + 2.50l ≥ 150

Answer

s + l > 150

Question 4

What is the solution to the equation 3(x - 4) + 2 = 2x + 5?

Accepted Answer

x = 15

Answer

x = 9

Answer

x = -5

Answer

x = -9

Question 5

A school is organizing a trip. A bus can hold at most 50 students. Which inequality correctly represents the number of students, s, that can be on the bus?

Accepted Answer

s ≤ 50

Answer

s > 50

Answer

s < 50

Answer

s ≥ 50

Question 6

Solve the compound inequality: -7 ≤ 2x - 3 < 5

Accepted Answer

-2 ≤ x < 4

Answer

-5 ≤ x < 1

Answer

x ≥ -2 or x < 4

Answer

x ≤ -5 or x > 1